MinT - Information on Result #831223

Information on Result #831223

Linear OOA(4²⁵⁶, 242, F₄, 2, 81) (dual of [(242, 2), 228, 82]-NRT-code), using OOA 2-folding based on linear OA(4²⁵⁶, 484, F₄, 81) (dual of [484, 228, 82]-code), using

concatenation of two codes [i] based on
1. linear OA(64⁴⁵, 121, F₆₄, 40) (dual of [121, 76, 41]-code), using
  - discarding factors / shortening the dual code based on linear OA(64⁴⁵, 127, F₆₄, 40) (dual of [127, 82, 41]-code), using
    - algebraic-geometric code AG(F,86P) [i] based on function field F/F₆₄ with g(F) = 5 and N(F) ≥ 128, using
      - a function field by SÃ©mirat [i]
2. linear OA(4¹, 4, F₄, 1) (dual of [4, 3, 2]-code), using
  - discarding factors / shortening the dual code based on linear OA(4¹, s, F₄, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
    - parity-check code [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

None.